Question

2/1+4/3+8/7+16/15+32/31+64/63+.+128/127

Answer 1

1/2+3/4+7/8+.+255/256

=（1-1/2)+(1-1/4)+(1-1/8)+(1+1/16)+...+(1/255/256)

=8-[(1/2)+(1/4)+...+(1/256)]

=8-[(1/2)+(1/4)+...+(1/256)]+(1/256-1/256)

=8-1+1/256

=7+1/256